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Black hole (BH) perturbation theory and the scattering models provide a powerful framework for studying gravitational lensing at the wave-optics level. However, conventional calculations encountered two issues: the divergence of the…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Zhao Li , Wen Zhao

Due to its large number of symmetries the Schwarzschild Black Hole can be described by a specific two-dimensional dilaton gravity model. After reviewing classical, semi-classical and quantum properties and a brief discussion of virtual…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Grumiller

A gravitational theory is formulated by considering the physical processes underlying relativistic dilation of time and contraction of space. It is shown that the point mass solution of general relativity's field equation - the…

General Relativity and Quantum Cosmology · Physics 2015-08-25 James W. Douglass

In this paper, we consider a massless field, with spin j, in interaction with a Schwarzschild black hole in four dimensions, focusing mainly our study on the s-wave scattering. First, using a Fourier analysis, we show that one can have a…

General Relativity and Quantum Cosmology · Physics 2013-02-07 Bernard Raffaelli

Gravitational lensing of a light source by a black hole leads to appearance of higher-order images produced by photons that loop around the black hole before reaching the observer. Higher-order images were widely investigated numerically…

General Relativity and Quantum Cosmology · Physics 2022-09-15 Gennady S. Bisnovatyi-Kogan , Oleg Yu. Tsupko

We study the properties of chaos in the motions of a spinning test particle in Schwarzschild spacetime. We characterize the chaos using the power spectrum of the time series of $z$ components of the particle's position. It is found that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hiroko Koyama , Kenta Kiuchi , Tetsuro Konishi

In this work the dynamics of a spinning particle moving in the Schwarzschild background is studied. In particular, the methods of Poincar\'{e} section and recurrence analysis are employed to discern chaos from order. It is shown that the…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Ondřej Zelenka , Georgios Lukes-Gerakopoulos , Vojtěch Witzany

The occurrence of chaos for test particles moving around Schwarzschild black holes perturbed by a special class of gravitational waves is studied in the context of the Melnikov method. The explicit integration of the equations of motion for…

General Relativity and Quantum Cosmology · Physics 2009-10-30 P. S. Letelier , W. M. Vieira

The perturbation theory of black holes has been useful recently for providing estimates of gravitational radiation from black hole collisions. Second order perturbation theory, relatively undeveloped until recently, has proved to be…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Reinaldo Gleiser , Carlos Nicasio , Richard Price , Jorge Pullin

The magnetic field is one of the most important constituents of the cosmic space and one of the main sources of the dynamics of interacting matter in the universe. The astronomical observations imply the existence of a strong magnetic…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Juhua Chen , Hao Liao , Yongjiu Wang

We obtain an approximate solution for the motion of a charged particle around a Schwarzschild black hole immersed in a weak dipolar magnetic field. We focus on eccentric bound orbits in the equatorial plane of the Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Demetrios B. Papadopoulos , Ioannis Contopoulos , Kostas D. Kokkotas , Nikolaos Stergioulas

By etching a hole in the mirrors or by placing a scatterer in the center of a cavity, we can create a sink for light. In a Bose-Einstein condensate of photons this sink results in the creation of a so-called radial vortex, which is a…

Quantum Gases · Physics 2019-03-27 L. Liao , E. C. I. van der Wurff , D. van Oosten , H. T. C. Stoof

We present the numerical evolution of a massive test scalar fields around a Schwarzschild space-time. We proceed by using hyperboloidal slices that approach future null infinity, which is the boundary of scalar fields, and also demand the…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-01 A. Cruz-Osorio , F. S. Guzman , F. D. Lora-Clavijo

We investigate the absorption and scattering by a Schwarzschild black hole in scalar--tensor theories of gravity, where the coupling between matter and the scalar field induces different models for the effective mass of the scalar field. In…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Qian Li , Junji Jia

We present a novel method to study interacting orbits in a fixed mean gravitational field associated with a solution of the Einstein field equations. The idea is to consider the Newton gravity among the orbiting particles in a geometry…

Astrophysics · Physics 2007-05-23 Eduardo Gueron , Patricio S. Letelier

The scattering process of two particles at Planck energies or beyond is calculated using the gravitational shock wave metric for a massive black hole. Then, the scattering between a heavy mass particle and a small mass one is deal with. The…

High Energy Physics - Theory · Physics 2007-05-23 Koichi HAYASHI , Toshiharu SAMURA

Optical appearance of a compact binary star in the field of a supermassive black hole is modeled in a strong field regime. Expressions for the redshift, magnification coefficient and pulsar extinction time are derived. By using the vierbein…

General Relativity and Quantum Cosmology · Physics 2017-02-28 Alexander Gorbatsievich , Stanislav Komarov , Alexander Tarasenko

We analyze the scalar radiation emitted from a source rotating around a Schwarzschild black hole using the framework of quantum field theory at the tree level. We show that for relativistic circular orbits the emitted power is about 20% to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luis C. B. Crispino , Atsushi Higuchi , George E. A. Matsas

This work provides, at lower order, general analytical solutions for the orbital separation, merging time, and orbital frequency of binary systems emitting gravitational waves while being submitted to mass variations. Specific features,…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Baptiste Blachier , Aurélien Barrau , Killian Martineau , Cyril Renevey

Using the Schwarzschild metric as a rudimentary toy model, we pedagogically revisit the curious prediction that the mass of a classical black hole in a constant temperature thermal bath diverges in a finite amount of time. We study in…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Aurélien Barrau , Killian Martineau , Cyril Renevey
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